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Simplifying 50b2 + 40bt + 8t2 = 0 Reorder the terms: 40bt + 50b2 + 8t2 = 0 Solving 40bt + 50b2 + 8t2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(20bt + 25b2 + 4t2) = 0 Factor a trinomial. 2((5b + 2t)(5b + 2t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5b + 2t)' equal to zero and attempt to solve: Simplifying 5b + 2t = 0 Solving 5b + 2t = 0 Move all terms containing b to the left, all other terms to the right. Add '-2t' to each side of the equation. 5b + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 5b + 0 = 0 + -2t 5b = 0 + -2t Remove the zero: 5b = -2t Divide each side by '5'. b = -0.4t Simplifying b = -0.4tSubproblem 2
Set the factor '(5b + 2t)' equal to zero and attempt to solve: Simplifying 5b + 2t = 0 Solving 5b + 2t = 0 Move all terms containing b to the left, all other terms to the right. Add '-2t' to each side of the equation. 5b + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 5b + 0 = 0 + -2t 5b = 0 + -2t Remove the zero: 5b = -2t Divide each side by '5'. b = -0.4t Simplifying b = -0.4tSolution
b = {-0.4t, -0.4t}
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